How to Find GCF of 2690/357, 3800/976?

GCF of 2690/357, 3800/976

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 2690/357, 3800/976 i.e 10/348432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2690/357, 3800/976.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 2690/357,3800/976?

Given fractions are 2690/357,3800/976

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 2690/357,3800/976, numerators are 2690,3800

Denominators are 357,976

The GCF of 2690,3800 is 10 .

LCM of 357,976 is 348432.

The greatest common factor of 2690/357,3800/976 = [GCF of 2690,3800]/[LCM of 357,976]= 10/348432

Therefore, the GCF of 2690/357,3800/976 is 10/348432.

Greatest Common Factor of 2690,3800

To find the highest common factor of 2690,3800, we have to find the factors of both numbers and list the highest common factor.

The factors of 2690 are 1, 2, 5, 10, 269, 538, 1345, 2690

The factors of 3800 are 1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900, 3800

The HCF of 2690,3800 is 10.

Lets's calculate GCF of 2690,3800

Greatest Common Factor (GCF) of 2690,3800 By Common Division

2	2690, 3800
5	1345, 1900
	269, 380

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 2690,3800 By Matching Biggest Common Factor Method

Now, list down the factors of 2690

1,2,5,10,269,538,1345,2690

Now, list down the factors of 3800

1,2,4,5,8,10,19,20,25,38,40,50,76,95,100,152,190,200,380,475,760,950,1900,3800

Greatest Common Factor

We found the factors 2690,3800 . The biggest common factor number is the GCF number.
So the greatest common factor 2690,3800 is 10.

Lets's calculate LCM of 357,976

Lowest Common Multiple of 357,976 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 348432

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/348432

Therefore, the GCF of Fractions 2690/357,3800/976 is 10/348432

Least Common Multiple of 357,976 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 357,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(357,976) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(357,976) x common factors =1 x 1 = 1

LCM(357,976) = ( 357 × 976 ) / 1

LCM(357,976) = 348432 / 1

LCM(357,976) = 348432

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FAQs on GCF of Fractions of 2690/357, 3800/976

1. What is the HCF of 2690,3800?

The HCF of 2690,3800 is 10

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 2690/357, 3800/976?

Answer: GCF of Numerators as per given numbers 2690/357, 3800/976 is

GCF of Numerators i.e. for 2690,3800 is 10

LCM of denominators i.e. for 357,976 is 348432.

Thus, GCF of Fractions is 10/348432.Finally, GCF of Fractions for 2690/357, 3800/976 is 10/348432.